Solve sqrt{(|-3-2*5|-1)*3}=

$$\sqrt { ( | - 3 - 2 \cdot 5 | - 1 ) \cdot 3 } =$$

Evaluate

$$6$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\sqrt{\left(|-3-10|-1\right)\times 3}$$

Subtract 10 from -3 to get -13.

$$\sqrt{\left(|-13|-1\right)\times 3}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -13 is 13.

$$\sqrt{\left(13-1\right)\times 3}$$

Subtract 1 from 13 to get 12.

$$\sqrt{12\times 3}$$

Multiply 12 and 3 to get 36.

$$\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$6$$

Factor

$$2\times 3$$